TRS Outer 67415 pair #381918018

details

property	value
status	complete
benchmark	non-lin2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n077.star.cs.uiowa.edu
space	Mixed_outermost

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	89.131499052 seconds
cpu usage	105.028354203
max memory	4.029042688E9

stage attributes

key	value
output-size	44867
starexec-result	MAYBE

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


MAYBE
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Outermost Termination of the given OTRS could not be shown:

(0) OTRS
(1) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms]
(2) QTRS
    (3) DependencyPairsProof [EQUIVALENT, 0 ms]
    (4) QDP
    (5) DependencyGraphProof [EQUIVALENT, 0 ms]
    (6) AND
        (7) QDP
            (8) UsableRulesProof [EQUIVALENT, 0 ms]
            (9) QDP
            (10) QReductionProof [EQUIVALENT, 0 ms]
            (11) QDP
            (12) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms]
            (13) QDP
            (14) DependencyGraphProof [EQUIVALENT, 0 ms]
            (15) TRUE
        (16) QDP
            (17) UsableRulesProof [EQUIVALENT, 0 ms]
            (18) QDP
                (19) QReductionProof [EQUIVALENT, 2 ms]
                (20) QDP
                (21) TransformationProof [EQUIVALENT, 0 ms]
                (22) QDP
                (23) TransformationProof [EQUIVALENT, 0 ms]
                (24) QDP
                (25) TransformationProof [EQUIVALENT, 0 ms]
                (26) QDP
                (27) TransformationProof [EQUIVALENT, 0 ms]
                (28) QDP
                (29) TransformationProof [EQUIVALENT, 0 ms]
                (30) QDP
                (31) QDPOrderProof [EQUIVALENT, 15 ms]
                (32) QDP
                (33) SplitQDPProof [EQUIVALENT, 0 ms]
                (34) AND
                    (35) QDP
                        (36) SemLabProof [SOUND, 0 ms]
                        (37) QDP
                        (38) QDPOrderProof [EQUIVALENT, 0 ms]
                        (39) QDP
                        (40) PisEmptyProof [SOUND, 0 ms]
                        (41) TRUE
                    (42) QDP
            (43) UsableRulesProof [EQUIVALENT, 0 ms]
            (44) QDP
                (45) QReductionProof [EQUIVALENT, 0 ms]
                (46) QDP
(47) Trivial-Transformation [SOUND, 0 ms]
(48) QTRS
    (49) DependencyPairsProof [EQUIVALENT, 0 ms]
    (50) QDP
    (51) MNOCProof [EQUIVALENT, 0 ms]
    (52) QDP
    (53) TransformationProof [EQUIVALENT, 0 ms]
    (54) QDP
    (55) MNOCProof [EQUIVALENT, 0 ms]
    (56) QDP
    (57) NonTerminationLoopProof [COMPLETE, 0 ms]
    (58) NO


----------------------------------------

(0)
Obligation:
Term rewrite system R:
The TRS R consists of the following rules:

   g(x, x) -> f(f(x, x), x)
   f(x, x) -> g(x, x)
   f(x, y) -> y



Outermost Strategy.

----------------------------------------

(1) Thiemann-SpecialC-Transformation (EQUIVALENT)
We applied the Thiemann-SpecialC transformation  to transform the outermost TRS to an innermost TRS.
----------------------------------------

(2)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Outer 67415